Enriched model categories and an application to additive endomorphism spectra
| dc.creator | Dugger, Daniel | |
| dc.creator | Shipley, Brooke | |
| dc.date | 2006-02-06 | |
| dc.date | 2007-01-15 | |
| dc.date.accessioned | 2026-07-07T07:40:35Z | |
| dc.date.available | 2026-07-07T07:40:35Z | |
| dc.description | We define the notion of an additive model category, and we prove that any additive, stable, combinatorial model category has a natural enrichment over symmetric spectra based on simplicial abelian groups. As a consequence, every object in such a model category has a naturally associated endomorphism ring inside this spectra category. We establish the basic properties of this enrichment. We also develop some enriched model category theory. In particular, we have a notion of an adjoint pair of functors being a 'module' over another such pair. Such things are called "adjoint modules". We develop the general theory of these, and use them to prove a result about transporting enrichments over one symmetric monoidal model category to a Quillen equivalent one. | |
| dc.description | Sections completely re-organized from previous version. Mathematical content all the same | |
| dc.identifier | https://arxiv.org/abs/math/0602107 | |
| dc.identifier | http://arxiv.org/abs/math/0602107 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/121818 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Category Theory | |
| dc.title | Enriched model categories and an application to additive endomorphism spectra | |
| dc.type | text |